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Earthquakes and Structures
  Volume 9, Number 6, December 2015, pages 1181-1192

Investigation of vibration and stability of cracked columns under axial load
Masoud Ghaderi, Hosein Ghaffarzadeh and Vahid A. Maleki

    In this paper, an analytical method is proposed to study the effect of crack and axial load on vibration behavior and stability of the cracked columns. Using the local flexibility model, the crack has been simulated by a torsional spring with connecting two segments of column in crack location. By solving governing eigenvalue equation, the effects of crack parameters and axial load on the natural frequencies and buckling load as well as buckling load are investigated. The results show that the presents of crack cause to reduction in natural frequencies and buckling load whereas this reduction is affected by the location and depth of the crack. Furthermore, the tensile and compressive axial load increase and decrease the natural frequencies, respectively. In addition, as the compression load approaches to certain value, the fundamental natural frequency reaches zero and instability occurs. The accuracy of the model is validated through the experimental data reported in the literature.
Key Words
    cracked column; stability; critical buckling load; natural frequency; vibration analysi
Masoud Ghaderi: Department of Civil Engineering, Ghermi Branch, Islamic Azad University, Ghermi, Iran

Hosein Ghaffarzadeh: Department of Structural Engineering, Faculty of Civil Engineering, University of Tabriz, Tabriz, Iran

Vahid A. Maleki: Department of Mechanical Engineering, University of Tabriz, Tabriz, Iran

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